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Answer the questions below. Make sure to show your work and provide complete geometric explanations for full credit.
1. Consider the prism shown below. sa007-1.jpg
Find the surface area of the prism. Show your work
2. A design on the surface of a balloon is 5 cm wide when the balloon holds 71 cmes009-1.jpg of air. How much air does the balloon hold when the design is 10 cm wide? Explain the method you use to find the amount of air.
3. In circle O, sa010-1.jpgand sa010-2.jpgare tangents. (The figure is not drawn to scale.) sa010-3.jpg
a.
Prove that sa010-4.jpg.
b.
Find msa010-5.jpgBOD for msa010-6.jpgAOP = 64. Explain your reasoning.
4. In circle O, CD = 44, OM = 20, ON = 19, sa012-1.jpg, sa012-2.jpg (The figure is not drawn to scale.) Show your work. sa012-3.jpg
a.
Find the radius. If your answer is not an integer, express it in radical form.
b.
Find FN. If your answer is not an integer, express it in radical form.
c.
Find EF. Express it as a decimal rounded to the nearest tenth.
5.
sa013-1.jpgis tangent to the circle at B. m sa013-2.jpg A = 14 and sa013-3.jpg(The figure is not drawn to scale.) Show your work. sa013-4.jpg
a.
Find x.
b.
Find y.
6. Is there a similarity transformation that maps to ? If so, identify the similarity transformation and write a similarity statement. Explain your answer.
CB
AD
FE
3
44
6
88
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